Modeling and simulation of microstructures using power diagrams: Proof of the concept

Power diagrams are a generalization of Voronoi diagrams for arbitrary dimensions. We present a modeling and optimization scheme for power diagrams in three spacial dimensions based on the statistics of experimental data obtained from cross-sectional images of polycrystalline materials. Our optimizat...

Full description

Saved in:
Bibliographic Details
Published in:Applied physics letters 2008-07, Vol.93 (3), p.034102-034102-3
Main Authors: Kühn, Martin, Steinhauser, Martin O.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Power diagrams are a generalization of Voronoi diagrams for arbitrary dimensions. We present a modeling and optimization scheme for power diagrams in three spacial dimensions based on the statistics of experimental data obtained from cross-sectional images of polycrystalline materials. Our optimization scheme based on the grains' area and perimeter distributions can be used to obtain realistic three-dimensional polycrystalline structures which can subsequently be used for numerical simulations. As a proof of the concept we apply our scheme to high-performance ceramics and present the results of initial shock-impact simulations of the obtained polycrystalline structures.
ISSN:0003-6951
1077-3118
DOI:10.1063/1.2959733